他们正在研究买房的可能性 英语怎么说

They are studying to feasibility for purchase house/ building.

They are discussing the possibility of purchasing/buying a house/an apartment.

They are studying the feasibility /possibility of purchasing the apartment.
关键还要看这个房是指什么样的房，公寓房的话就apartment,别墅的话就villa；等等。

They are study a possibility of buy the building